What is the Least Common Multiple of 36108 and 36120?

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 36108 and 36120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36108 and 36120, than apply into the LCM equation.

GCF(36108,36120) = 12
LCM(36108,36120) = ( 36108 × 36120) / 12
LCM(36108,36120) = 1304220960 / 12
LCM(36108,36120) = 108685080

Least Common Multiple (LCM) of 36108 and 36120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36108 and 36120. First we will calculate the prime factors of 36108 and 36120.

Prime Factorization of 36108

Prime Factorization of 36120

Now multiplying the highest exponent prime factors to calculate the LCM of 36108 and 36120.

LCM(36108,36120) = 2³ × 3² × 17¹ × 59¹ × 5¹ × 7¹ × 43¹
LCM(36108,36120) = 108685080