What is the Least Common Multiple of 62736 and 62745?

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 62736 and 62745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62736 and 62745, than apply into the LCM equation.

GCF(62736,62745) = 3
LCM(62736,62745) = ( 62736 × 62745) / 3
LCM(62736,62745) = 3936370320 / 3
LCM(62736,62745) = 1312123440

Least Common Multiple (LCM) of 62736 and 62745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62736 and 62745. First we will calculate the prime factors of 62736 and 62745.

Prime Factorization of 62736

Prime Factorization of 62745

Now multiplying the highest exponent prime factors to calculate the LCM of 62736 and 62745.

LCM(62736,62745) = 2⁴ × 3¹ × 1307¹ × 5¹ × 47¹ × 89¹
LCM(62736,62745) = 1312123440