What is the Least Common Multiple of 62088 and 62098?

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 62088 and 62098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62088 and 62098, than apply into the LCM equation.

GCF(62088,62098) = 2
LCM(62088,62098) = ( 62088 × 62098) / 2
LCM(62088,62098) = 3855540624 / 2
LCM(62088,62098) = 1927770312

Least Common Multiple (LCM) of 62088 and 62098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62088 and 62098. First we will calculate the prime factors of 62088 and 62098.

Prime Factorization of 62088

Prime Factorization of 62098

Now multiplying the highest exponent prime factors to calculate the LCM of 62088 and 62098.

LCM(62088,62098) = 2³ × 3¹ × 13¹ × 199¹ × 61¹ × 509¹
LCM(62088,62098) = 1927770312