What is the Least Common Multiple of 64749 and 64755?

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 64749 and 64755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64749 and 64755, than apply into the LCM equation.

GCF(64749,64755) = 3
LCM(64749,64755) = ( 64749 × 64755) / 3
LCM(64749,64755) = 4192821495 / 3
LCM(64749,64755) = 1397607165

Least Common Multiple (LCM) of 64749 and 64755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64749 and 64755. First we will calculate the prime factors of 64749 and 64755.

Prime Factorization of 64749

Prime Factorization of 64755

Now multiplying the highest exponent prime factors to calculate the LCM of 64749 and 64755.

LCM(64749,64755) = 3² × 113¹ × 191¹ × 5¹ × 1439¹
LCM(64749,64755) = 1397607165