What is the Least Common Multiple of 62679 and 62692?

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 62679 and 62692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62679 and 62692, than apply into the LCM equation.

GCF(62679,62692) = 1
LCM(62679,62692) = ( 62679 × 62692) / 1
LCM(62679,62692) = 3929471868 / 1
LCM(62679,62692) = 3929471868

Least Common Multiple (LCM) of 62679 and 62692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62679 and 62692. First we will calculate the prime factors of 62679 and 62692.

Prime Factorization of 62679

Prime Factorization of 62692

Now multiplying the highest exponent prime factors to calculate the LCM of 62679 and 62692.

LCM(62679,62692) = 3¹ × 17¹ × 1229¹ × 2² × 7¹ × 2239¹
LCM(62679,62692) = 3929471868