What is the Least Common Multiple of 67937 and 67950?
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 67937 and 67950 is 4616319150.
LCM(67937,67950) = 4616319150
Least Common Multiple of 67937 and 67950 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67937 and 67950, than apply into the LCM equation.
GCF(67937,67950) = 1
LCM(67937,67950) = ( 67937 × 67950) / 1
LCM(67937,67950) = 4616319150 / 1
LCM(67937,67950) = 4616319150
Least Common Multiple (LCM) of 67937 and 67950 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67937 and 67950. First we will calculate the prime factors of 67937 and 67950.
Prime Factorization of 67937
Prime factors of 67937 are 41, 1657. Prime factorization of 67937 in exponential form is:
67937 = 411 × 16571
Prime Factorization of 67950
Prime factors of 67950 are 2, 3, 5, 151. Prime factorization of 67950 in exponential form is:
67950 = 21 × 32 × 52 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 67937 and 67950.
LCM(67937,67950) = 411 × 16571 × 21 × 32 × 52 × 1511
LCM(67937,67950) = 4616319150
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