What is the Least Common Multiple of 76408 and 76420?

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 76408 and 76420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76408 and 76420, than apply into the LCM equation.

GCF(76408,76420) = 4
LCM(76408,76420) = ( 76408 × 76420) / 4
LCM(76408,76420) = 5839099360 / 4
LCM(76408,76420) = 1459774840

Least Common Multiple (LCM) of 76408 and 76420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76408 and 76420. First we will calculate the prime factors of 76408 and 76420.

Prime Factorization of 76408

Prime Factorization of 76420

Now multiplying the highest exponent prime factors to calculate the LCM of 76408 and 76420.

LCM(76408,76420) = 2³ × 9551¹ × 5¹ × 3821¹
LCM(76408,76420) = 1459774840