What is the Least Common Multiple of 84760 and 84774?

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 84760 and 84774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84760 and 84774, than apply into the LCM equation.

GCF(84760,84774) = 2
LCM(84760,84774) = ( 84760 × 84774) / 2
LCM(84760,84774) = 7185444240 / 2
LCM(84760,84774) = 3592722120

Least Common Multiple (LCM) of 84760 and 84774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84760 and 84774. First we will calculate the prime factors of 84760 and 84774.

Prime Factorization of 84760

Prime Factorization of 84774

Now multiplying the highest exponent prime factors to calculate the LCM of 84760 and 84774.

LCM(84760,84774) = 2³ × 5¹ × 13¹ × 163¹ × 3¹ × 71¹ × 199¹
LCM(84760,84774) = 3592722120