What is the Least Common Multiple of 84780 and 84792?

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 84780 and 84792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84780 and 84792, than apply into the LCM equation.

GCF(84780,84792) = 12
LCM(84780,84792) = ( 84780 × 84792) / 12
LCM(84780,84792) = 7188665760 / 12
LCM(84780,84792) = 599055480

Least Common Multiple (LCM) of 84780 and 84792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84780 and 84792. First we will calculate the prime factors of 84780 and 84792.

Prime Factorization of 84780

Prime Factorization of 84792

Now multiplying the highest exponent prime factors to calculate the LCM of 84780 and 84792.

LCM(84780,84792) = 2³ × 3³ × 5¹ × 157¹ × 3533¹
LCM(84780,84792) = 599055480