What is the Least Common Multiple of 67692 and 67712?

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 67692 and 67712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67692 and 67712, than apply into the LCM equation.

GCF(67692,67712) = 4
LCM(67692,67712) = ( 67692 × 67712) / 4
LCM(67692,67712) = 4583560704 / 4
LCM(67692,67712) = 1145890176

Least Common Multiple (LCM) of 67692 and 67712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67692 and 67712. First we will calculate the prime factors of 67692 and 67712.

Prime Factorization of 67692

Prime Factorization of 67712

Now multiplying the highest exponent prime factors to calculate the LCM of 67692 and 67712.

LCM(67692,67712) = 2⁷ × 3¹ × 5641¹ × 23²
LCM(67692,67712) = 1145890176