What is the Least Common Multiple of 36930 and 36940?

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 36930 and 36940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36930 and 36940, than apply into the LCM equation.

GCF(36930,36940) = 10
LCM(36930,36940) = ( 36930 × 36940) / 10
LCM(36930,36940) = 1364194200 / 10
LCM(36930,36940) = 136419420

Least Common Multiple (LCM) of 36930 and 36940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36930 and 36940. First we will calculate the prime factors of 36930 and 36940.

Prime Factorization of 36930

Prime Factorization of 36940

Now multiplying the highest exponent prime factors to calculate the LCM of 36930 and 36940.

LCM(36930,36940) = 2² × 3¹ × 5¹ × 1231¹ × 1847¹
LCM(36930,36940) = 136419420