What is the Least Common Multiple of 62926 and 62936?

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 62926 and 62936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62926 and 62936, than apply into the LCM equation.

GCF(62926,62936) = 2
LCM(62926,62936) = ( 62926 × 62936) / 2
LCM(62926,62936) = 3960310736 / 2
LCM(62926,62936) = 1980155368

Least Common Multiple (LCM) of 62926 and 62936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62926 and 62936. First we will calculate the prime factors of 62926 and 62936.

Prime Factorization of 62926

Prime Factorization of 62936

Now multiplying the highest exponent prime factors to calculate the LCM of 62926 and 62936.

LCM(62926,62936) = 2³ × 73¹ × 431¹ × 7867¹
LCM(62926,62936) = 1980155368