What is the Least Common Multiple of 62769 and 62783?

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 62769 and 62783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62769 and 62783, than apply into the LCM equation.

GCF(62769,62783) = 7
LCM(62769,62783) = ( 62769 × 62783) / 7
LCM(62769,62783) = 3940826127 / 7
LCM(62769,62783) = 562975161

Least Common Multiple (LCM) of 62769 and 62783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62769 and 62783. First we will calculate the prime factors of 62769 and 62783.

Prime Factorization of 62769

Prime Factorization of 62783

Now multiplying the highest exponent prime factors to calculate the LCM of 62769 and 62783.

LCM(62769,62783) = 3¹ × 7³ × 61¹ × 8969¹
LCM(62769,62783) = 562975161