What is the Least Common Multiple of 36906 and 36920?

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 36906 and 36920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36906 and 36920, than apply into the LCM equation.

GCF(36906,36920) = 2
LCM(36906,36920) = ( 36906 × 36920) / 2
LCM(36906,36920) = 1362569520 / 2
LCM(36906,36920) = 681284760

Least Common Multiple (LCM) of 36906 and 36920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36906 and 36920. First we will calculate the prime factors of 36906 and 36920.

Prime Factorization of 36906

Prime Factorization of 36920

Now multiplying the highest exponent prime factors to calculate the LCM of 36906 and 36920.

LCM(36906,36920) = 2³ × 3¹ × 6151¹ × 5¹ × 13¹ × 71¹
LCM(36906,36920) = 681284760