What is the Least Common Multiple of 84729 and 84736?

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 84729 and 84736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84729 and 84736, than apply into the LCM equation.

GCF(84729,84736) = 1
LCM(84729,84736) = ( 84729 × 84736) / 1
LCM(84729,84736) = 7179596544 / 1
LCM(84729,84736) = 7179596544

Least Common Multiple (LCM) of 84729 and 84736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84729 and 84736. First we will calculate the prime factors of 84729 and 84736.

Prime Factorization of 84729

Prime Factorization of 84736

Now multiplying the highest exponent prime factors to calculate the LCM of 84729 and 84736.

LCM(84729,84736) = 3¹ × 61¹ × 463¹ × 2⁸ × 331¹
LCM(84729,84736) = 7179596544