What is the Least Common Multiple of 62776 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 62776 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 62776 and 62783, than apply into the LCM equation.

GCF(62776,62783) = 7
LCM(62776,62783) = ( 62776 × 62783) / 7
LCM(62776,62783) = 3941265608 / 7
LCM(62776,62783) = 563037944

Least Common Multiple (LCM) of 62776 and 62783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62776 and 62783. First we will calculate the prime factors of 62776 and 62783.

Prime Factorization of 62776

Prime Factorization of 62783

Now multiplying the highest exponent prime factors to calculate the LCM of 62776 and 62783.

LCM(62776,62783) = 2³ × 7¹ × 19¹ × 59¹ × 8969¹
LCM(62776,62783) = 563037944