What is the Least Common Multiple of 36120 and 36127?

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 36120 and 36127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36120 and 36127, than apply into the LCM equation.

GCF(36120,36127) = 7
LCM(36120,36127) = ( 36120 × 36127) / 7
LCM(36120,36127) = 1304907240 / 7
LCM(36120,36127) = 186415320

Least Common Multiple (LCM) of 36120 and 36127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36120 and 36127. First we will calculate the prime factors of 36120 and 36127.

Prime Factorization of 36120

Prime Factorization of 36127

Now multiplying the highest exponent prime factors to calculate the LCM of 36120 and 36127.

LCM(36120,36127) = 2³ × 3¹ × 5¹ × 7¹ × 43¹ × 13¹ × 397¹
LCM(36120,36127) = 186415320