What is the Least Common Multiple of 62667 and 62673?

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 62667 and 62673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62667 and 62673, than apply into the LCM equation.

GCF(62667,62673) = 3
LCM(62667,62673) = ( 62667 × 62673) / 3
LCM(62667,62673) = 3927528891 / 3
LCM(62667,62673) = 1309176297

Least Common Multiple (LCM) of 62667 and 62673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62667 and 62673. First we will calculate the prime factors of 62667 and 62673.

Prime Factorization of 62667

Prime Factorization of 62673

Now multiplying the highest exponent prime factors to calculate the LCM of 62667 and 62673.

LCM(62667,62673) = 3³ × 11¹ × 211¹ × 13¹ × 1607¹
LCM(62667,62673) = 1309176297