What is the Least Common Multiple of 62748 and 62757?

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 62748 and 62757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62748 and 62757, than apply into the LCM equation.

GCF(62748,62757) = 9
LCM(62748,62757) = ( 62748 × 62757) / 9
LCM(62748,62757) = 3937876236 / 9
LCM(62748,62757) = 437541804

Least Common Multiple (LCM) of 62748 and 62757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62748 and 62757. First we will calculate the prime factors of 62748 and 62757.

Prime Factorization of 62748

Prime Factorization of 62757

Now multiplying the highest exponent prime factors to calculate the LCM of 62748 and 62757.

LCM(62748,62757) = 2² × 3³ × 7¹ × 83¹ × 19¹ × 367¹
LCM(62748,62757) = 437541804