What is the Least Common Multiple of 84980 and 84984?

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 84980 and 84984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84980 and 84984, than apply into the LCM equation.

GCF(84980,84984) = 4
LCM(84980,84984) = ( 84980 × 84984) / 4
LCM(84980,84984) = 7221940320 / 4
LCM(84980,84984) = 1805485080

Least Common Multiple (LCM) of 84980 and 84984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84980 and 84984. First we will calculate the prime factors of 84980 and 84984.

Prime Factorization of 84980

Prime Factorization of 84984

Now multiplying the highest exponent prime factors to calculate the LCM of 84980 and 84984.

LCM(84980,84984) = 2³ × 5¹ × 7¹ × 607¹ × 3¹ × 3541¹
LCM(84980,84984) = 1805485080