What is the Least Common Multiple of 37345 and 37355?

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 37345 and 37355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37345 and 37355, than apply into the LCM equation.

GCF(37345,37355) = 5
LCM(37345,37355) = ( 37345 × 37355) / 5
LCM(37345,37355) = 1395022475 / 5
LCM(37345,37355) = 279004495

Least Common Multiple (LCM) of 37345 and 37355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37345 and 37355. First we will calculate the prime factors of 37345 and 37355.

Prime Factorization of 37345

Prime Factorization of 37355

Now multiplying the highest exponent prime factors to calculate the LCM of 37345 and 37355.

LCM(37345,37355) = 5¹ × 7¹ × 11¹ × 97¹ × 31¹ × 241¹
LCM(37345,37355) = 279004495