What is the Least Common Multiple of 37540 and 37545?

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 37540 and 37545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37540 and 37545, than apply into the LCM equation.

GCF(37540,37545) = 5
LCM(37540,37545) = ( 37540 × 37545) / 5
LCM(37540,37545) = 1409439300 / 5
LCM(37540,37545) = 281887860

Least Common Multiple (LCM) of 37540 and 37545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37540 and 37545. First we will calculate the prime factors of 37540 and 37545.

Prime Factorization of 37540

Prime Factorization of 37545

Now multiplying the highest exponent prime factors to calculate the LCM of 37540 and 37545.

LCM(37540,37545) = 2² × 5¹ × 1877¹ × 3¹ × 2503¹
LCM(37540,37545) = 281887860