What is the Least Common Multiple of 76692 and 76704?

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 76692 and 76704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76692 and 76704, than apply into the LCM equation.

GCF(76692,76704) = 12
LCM(76692,76704) = ( 76692 × 76704) / 12
LCM(76692,76704) = 5882583168 / 12
LCM(76692,76704) = 490215264

Least Common Multiple (LCM) of 76692 and 76704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76692 and 76704. First we will calculate the prime factors of 76692 and 76704.

Prime Factorization of 76692

Prime Factorization of 76704

Now multiplying the highest exponent prime factors to calculate the LCM of 76692 and 76704.

LCM(76692,76704) = 2⁵ × 3¹ × 7¹ × 11¹ × 83¹ × 17¹ × 47¹
LCM(76692,76704) = 490215264