What is the Least Common Multiple of 94118 and 94124?
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 94118 and 94124 is 4429381316.
LCM(94118,94124) = 4429381316
Least Common Multiple of 94118 and 94124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94118 and 94124, than apply into the LCM equation.
GCF(94118,94124) = 2
LCM(94118,94124) = ( 94118 × 94124) / 2
LCM(94118,94124) = 8858762632 / 2
LCM(94118,94124) = 4429381316
Least Common Multiple (LCM) of 94118 and 94124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94118 and 94124. First we will calculate the prime factors of 94118 and 94124.
Prime Factorization of 94118
Prime factors of 94118 are 2, 47059. Prime factorization of 94118 in exponential form is:
94118 = 21 × 470591
Prime Factorization of 94124
Prime factors of 94124 are 2, 23531. Prime factorization of 94124 in exponential form is:
94124 = 22 × 235311
Now multiplying the highest exponent prime factors to calculate the LCM of 94118 and 94124.
LCM(94118,94124) = 22 × 470591 × 235311
LCM(94118,94124) = 4429381316
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