What is the Least Common Multiple of 21462 and 21476?

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 21462 and 21476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21462 and 21476, than apply into the LCM equation.

GCF(21462,21476) = 14
LCM(21462,21476) = ( 21462 × 21476) / 14
LCM(21462,21476) = 460917912 / 14
LCM(21462,21476) = 32922708

Least Common Multiple (LCM) of 21462 and 21476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21462 and 21476. First we will calculate the prime factors of 21462 and 21476.

Prime Factorization of 21462

Prime Factorization of 21476

Now multiplying the highest exponent prime factors to calculate the LCM of 21462 and 21476.

LCM(21462,21476) = 2² × 3¹ × 7² × 73¹ × 13¹ × 59¹
LCM(21462,21476) = 32922708