What is the Least Common Multiple of 83724 and 83740?

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 83724 and 83740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83724 and 83740, than apply into the LCM equation.

GCF(83724,83740) = 4
LCM(83724,83740) = ( 83724 × 83740) / 4
LCM(83724,83740) = 7011047760 / 4
LCM(83724,83740) = 1752761940

Least Common Multiple (LCM) of 83724 and 83740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83724 and 83740. First we will calculate the prime factors of 83724 and 83740.

Prime Factorization of 83724

Prime Factorization of 83740

Now multiplying the highest exponent prime factors to calculate the LCM of 83724 and 83740.

LCM(83724,83740) = 2² × 3¹ × 6977¹ × 5¹ × 53¹ × 79¹
LCM(83724,83740) = 1752761940