What is the Least Common Multiple of 36975 and 36988?

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 36975 and 36988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36975 and 36988, than apply into the LCM equation.

GCF(36975,36988) = 1
LCM(36975,36988) = ( 36975 × 36988) / 1
LCM(36975,36988) = 1367631300 / 1
LCM(36975,36988) = 1367631300

Least Common Multiple (LCM) of 36975 and 36988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36975 and 36988. First we will calculate the prime factors of 36975 and 36988.

Prime Factorization of 36975

Prime Factorization of 36988

Now multiplying the highest exponent prime factors to calculate the LCM of 36975 and 36988.

LCM(36975,36988) = 3¹ × 5² × 17¹ × 29¹ × 2² × 7¹ × 1321¹
LCM(36975,36988) = 1367631300