What is the Least Common Multiple of 62190 and 62208?

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 62190 and 62208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62190 and 62208, than apply into the LCM equation.

GCF(62190,62208) = 18
LCM(62190,62208) = ( 62190 × 62208) / 18
LCM(62190,62208) = 3868715520 / 18
LCM(62190,62208) = 214928640

Least Common Multiple (LCM) of 62190 and 62208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62190 and 62208. First we will calculate the prime factors of 62190 and 62208.

Prime Factorization of 62190

Prime Factorization of 62208

Now multiplying the highest exponent prime factors to calculate the LCM of 62190 and 62208.

LCM(62190,62208) = 2⁸ × 3⁵ × 5¹ × 691¹
LCM(62190,62208) = 214928640