What is the Least Common Multiple of 84724 and 84740?

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 84724 and 84740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84724 and 84740, than apply into the LCM equation.

GCF(84724,84740) = 4
LCM(84724,84740) = ( 84724 × 84740) / 4
LCM(84724,84740) = 7179511760 / 4
LCM(84724,84740) = 1794877940

Least Common Multiple (LCM) of 84724 and 84740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84724 and 84740. First we will calculate the prime factors of 84724 and 84740.

Prime Factorization of 84724

Prime Factorization of 84740

Now multiplying the highest exponent prime factors to calculate the LCM of 84724 and 84740.

LCM(84724,84740) = 2² × 59¹ × 359¹ × 5¹ × 19¹ × 223¹
LCM(84724,84740) = 1794877940