What is the Least Common Multiple of 23135 and 23152?

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 23135 and 23152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23135 and 23152, than apply into the LCM equation.

GCF(23135,23152) = 1
LCM(23135,23152) = ( 23135 × 23152) / 1
LCM(23135,23152) = 535621520 / 1
LCM(23135,23152) = 535621520

Least Common Multiple (LCM) of 23135 and 23152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23135 and 23152. First we will calculate the prime factors of 23135 and 23152.

Prime Factorization of 23135

Prime Factorization of 23152

Now multiplying the highest exponent prime factors to calculate the LCM of 23135 and 23152.

LCM(23135,23152) = 5¹ × 7¹ × 661¹ × 2⁴ × 1447¹
LCM(23135,23152) = 535621520