What is the Least Common Multiple of 64745 and 64749?

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 64745 and 64749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64745 and 64749, than apply into the LCM equation.

GCF(64745,64749) = 1
LCM(64745,64749) = ( 64745 × 64749) / 1
LCM(64745,64749) = 4192174005 / 1
LCM(64745,64749) = 4192174005

Least Common Multiple (LCM) of 64745 and 64749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64745 and 64749. First we will calculate the prime factors of 64745 and 64749.

Prime Factorization of 64745

Prime Factorization of 64749

Now multiplying the highest exponent prime factors to calculate the LCM of 64745 and 64749.

LCM(64745,64749) = 5¹ × 23¹ × 563¹ × 3¹ × 113¹ × 191¹
LCM(64745,64749) = 4192174005