What is the Least Common Multiple of 37071 and 37080?

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 37071 and 37080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37071 and 37080, than apply into the LCM equation.

GCF(37071,37080) = 9
LCM(37071,37080) = ( 37071 × 37080) / 9
LCM(37071,37080) = 1374592680 / 9
LCM(37071,37080) = 152732520

Least Common Multiple (LCM) of 37071 and 37080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37071 and 37080. First we will calculate the prime factors of 37071 and 37080.

Prime Factorization of 37071

Prime Factorization of 37080

Now multiplying the highest exponent prime factors to calculate the LCM of 37071 and 37080.

LCM(37071,37080) = 3³ × 1373¹ × 2³ × 5¹ × 103¹
LCM(37071,37080) = 152732520