What is the Least Common Multiple of 62139 and 62159?

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 62139 and 62159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62139 and 62159, than apply into the LCM equation.

GCF(62139,62159) = 1
LCM(62139,62159) = ( 62139 × 62159) / 1
LCM(62139,62159) = 3862498101 / 1
LCM(62139,62159) = 3862498101

Least Common Multiple (LCM) of 62139 and 62159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62139 and 62159. First we will calculate the prime factors of 62139 and 62159.

Prime Factorization of 62139

Prime Factorization of 62159

Now multiplying the highest exponent prime factors to calculate the LCM of 62139 and 62159.

LCM(62139,62159) = 3¹ × 7¹ × 11¹ × 269¹ × 61¹ × 1019¹
LCM(62139,62159) = 3862498101