What is the Least Common Multiple of 37080 and 37092?

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 37080 and 37092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37080 and 37092, than apply into the LCM equation.

GCF(37080,37092) = 12
LCM(37080,37092) = ( 37080 × 37092) / 12
LCM(37080,37092) = 1375371360 / 12
LCM(37080,37092) = 114614280

Least Common Multiple (LCM) of 37080 and 37092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37080 and 37092. First we will calculate the prime factors of 37080 and 37092.

Prime Factorization of 37080

Prime Factorization of 37092

Now multiplying the highest exponent prime factors to calculate the LCM of 37080 and 37092.

LCM(37080,37092) = 2³ × 3² × 5¹ × 103¹ × 11¹ × 281¹
LCM(37080,37092) = 114614280