What is the Least Common Multiple of 32952 and 32960?

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 32952 and 32960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32952 and 32960, than apply into the LCM equation.

GCF(32952,32960) = 8
LCM(32952,32960) = ( 32952 × 32960) / 8
LCM(32952,32960) = 1086097920 / 8
LCM(32952,32960) = 135762240

Least Common Multiple (LCM) of 32952 and 32960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32952 and 32960. First we will calculate the prime factors of 32952 and 32960.

Prime Factorization of 32952

Prime Factorization of 32960

Now multiplying the highest exponent prime factors to calculate the LCM of 32952 and 32960.

LCM(32952,32960) = 2⁶ × 3¹ × 1373¹ × 5¹ × 103¹
LCM(32952,32960) = 135762240