What is the Least Common Multiple of 37072 and 37078?

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 of 37072 and 37078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37072 and 37078, than apply into the LCM equation.

GCF(37072,37078) = 2
LCM(37072,37078) = ( 37072 × 37078) / 2
LCM(37072,37078) = 1374555616 / 2
LCM(37072,37078) = 687277808

Least Common Multiple (LCM) of 37072 and 37078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37072 and 37078. First we will calculate the prime factors of 37072 and 37078.

Prime Factorization of 37072

Prime Factorization of 37078

Now multiplying the highest exponent prime factors to calculate the LCM of 37072 and 37078.

LCM(37072,37078) = 2⁴ × 7¹ × 331¹ × 18539¹
LCM(37072,37078) = 687277808