What is the Least Common Multiple of 67734 and 67746?

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 67734 and 67746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67734 and 67746, than apply into the LCM equation.

GCF(67734,67746) = 6
LCM(67734,67746) = ( 67734 × 67746) / 6
LCM(67734,67746) = 4588707564 / 6
LCM(67734,67746) = 764784594

Least Common Multiple (LCM) of 67734 and 67746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67734 and 67746. First we will calculate the prime factors of 67734 and 67746.

Prime Factorization of 67734

Prime Factorization of 67746

Now multiplying the highest exponent prime factors to calculate the LCM of 67734 and 67746.

LCM(67734,67746) = 2¹ × 3² × 53¹ × 71¹ × 7¹ × 1613¹
LCM(67734,67746) = 764784594