What is the Least Common Multiple of 62661 and 62679?

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 62661 and 62679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62661 and 62679, than apply into the LCM equation.

GCF(62661,62679) = 3
LCM(62661,62679) = ( 62661 × 62679) / 3
LCM(62661,62679) = 3927528819 / 3
LCM(62661,62679) = 1309176273

Least Common Multiple (LCM) of 62661 and 62679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62661 and 62679. First we will calculate the prime factors of 62661 and 62679.

Prime Factorization of 62661

Prime Factorization of 62679

Now multiplying the highest exponent prime factors to calculate the LCM of 62661 and 62679.

LCM(62661,62679) = 3¹ × 20887¹ × 17¹ × 1229¹
LCM(62661,62679) = 1309176273