What is the Least Common Multiple of 64144 and 64152?

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 64144 and 64152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64144 and 64152, than apply into the LCM equation.

GCF(64144,64152) = 8
LCM(64144,64152) = ( 64144 × 64152) / 8
LCM(64144,64152) = 4114965888 / 8
LCM(64144,64152) = 514370736

Least Common Multiple (LCM) of 64144 and 64152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64144 and 64152. First we will calculate the prime factors of 64144 and 64152.

Prime Factorization of 64144

Prime Factorization of 64152

Now multiplying the highest exponent prime factors to calculate the LCM of 64144 and 64152.

LCM(64144,64152) = 2⁴ × 19¹ × 211¹ × 3⁶ × 11¹
LCM(64144,64152) = 514370736