What is the Least Common Multiple of 37490 and 37495?

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 37490 and 37495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37490 and 37495, than apply into the LCM equation.

GCF(37490,37495) = 5
LCM(37490,37495) = ( 37490 × 37495) / 5
LCM(37490,37495) = 1405687550 / 5
LCM(37490,37495) = 281137510

Least Common Multiple (LCM) of 37490 and 37495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37490 and 37495. First we will calculate the prime factors of 37490 and 37495.

Prime Factorization of 37490

Prime Factorization of 37495

Now multiplying the highest exponent prime factors to calculate the LCM of 37490 and 37495.

LCM(37490,37495) = 2¹ × 5¹ × 23¹ × 163¹ × 7499¹
LCM(37490,37495) = 281137510