What is the Least Common Multiple of 66420 and 66435?

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 66435 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 66435, than apply into the LCM equation.

GCF(66420,66435) = 15
LCM(66420,66435) = ( 66420 × 66435) / 15
LCM(66420,66435) = 4412612700 / 15
LCM(66420,66435) = 294174180

Least Common Multiple (LCM) of 66420 and 66435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66420 and 66435. First we will calculate the prime factors of 66420 and 66435.

Prime Factorization of 66420

Prime Factorization of 66435

Now multiplying the highest exponent prime factors to calculate the LCM of 66420 and 66435.

LCM(66420,66435) = 2² × 3⁴ × 5¹ × 41¹ × 43¹ × 103¹
LCM(66420,66435) = 294174180