What is the Least Common Multiple of 87724 and 87744?

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 87724 and 87744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87724 and 87744, than apply into the LCM equation.

GCF(87724,87744) = 4
LCM(87724,87744) = ( 87724 × 87744) / 4
LCM(87724,87744) = 7697254656 / 4
LCM(87724,87744) = 1924313664

Least Common Multiple (LCM) of 87724 and 87744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87724 and 87744. First we will calculate the prime factors of 87724 and 87744.

Prime Factorization of 87724

Prime Factorization of 87744

Now multiplying the highest exponent prime factors to calculate the LCM of 87724 and 87744.

LCM(87724,87744) = 2⁶ × 7¹ × 13¹ × 241¹ × 3¹ × 457¹
LCM(87724,87744) = 1924313664