What is the Least Common Multiple of 9652 and 9671?

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 9652 and 9671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9652 and 9671, than apply into the LCM equation.

GCF(9652,9671) = 19
LCM(9652,9671) = ( 9652 × 9671) / 19
LCM(9652,9671) = 93344492 / 19
LCM(9652,9671) = 4912868

Least Common Multiple (LCM) of 9652 and 9671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9652 and 9671. First we will calculate the prime factors of 9652 and 9671.

Prime Factorization of 9652

Prime Factorization of 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 9652 and 9671.

LCM(9652,9671) = 2² × 19¹ × 127¹ × 509¹
LCM(9652,9671) = 4912868