What is the Least Common Multiple of 66420 and 66432?

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 66420 and 66432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66420 and 66432, than apply into the LCM equation.

GCF(66420,66432) = 12
LCM(66420,66432) = ( 66420 × 66432) / 12
LCM(66420,66432) = 4412413440 / 12
LCM(66420,66432) = 367701120

Least Common Multiple (LCM) of 66420 and 66432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66420 and 66432. First we will calculate the prime factors of 66420 and 66432.

Prime Factorization of 66420

Prime Factorization of 66432

Now multiplying the highest exponent prime factors to calculate the LCM of 66420 and 66432.

LCM(66420,66432) = 2⁷ × 3⁴ × 5¹ × 41¹ × 173¹
LCM(66420,66432) = 367701120