What is the Least Common Multiple of 62088 and 62101?

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 62101 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 62101, than apply into the LCM equation.

GCF(62088,62101) = 13
LCM(62088,62101) = ( 62088 × 62101) / 13
LCM(62088,62101) = 3855726888 / 13
LCM(62088,62101) = 296594376

Least Common Multiple (LCM) of 62088 and 62101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62088 and 62101. First we will calculate the prime factors of 62088 and 62101.

Prime Factorization of 62088

Prime Factorization of 62101

Now multiplying the highest exponent prime factors to calculate the LCM of 62088 and 62101.

LCM(62088,62101) = 2³ × 3¹ × 13¹ × 199¹ × 17¹ × 281¹
LCM(62088,62101) = 296594376