What is the Least Common Multiple of 14925 and 14938?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 14925 and 14938 is 222949650.
LCM(14925,14938) = 222949650
Least Common Multiple of 14925 and 14938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14925 and 14938, than apply into the LCM equation.
GCF(14925,14938) = 1
LCM(14925,14938) = ( 14925 × 14938) / 1
LCM(14925,14938) = 222949650 / 1
LCM(14925,14938) = 222949650
Least Common Multiple (LCM) of 14925 and 14938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14925 and 14938. First we will calculate the prime factors of 14925 and 14938.
Prime Factorization of 14925
Prime factors of 14925 are 3, 5, 199. Prime factorization of 14925 in exponential form is:
14925 = 31 × 52 × 1991
Prime Factorization of 14938
Prime factors of 14938 are 2, 7, 11, 97. Prime factorization of 14938 in exponential form is:
14938 = 21 × 71 × 111 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 14925 and 14938.
LCM(14925,14938) = 31 × 52 × 1991 × 21 × 71 × 111 × 971
LCM(14925,14938) = 222949650
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Related Least Common Multiples of 14938
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