What is the Least Common Multiple of 23549 and 23560?

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 23549 and 23560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23549 and 23560, than apply into the LCM equation.

GCF(23549,23560) = 1
LCM(23549,23560) = ( 23549 × 23560) / 1
LCM(23549,23560) = 554814440 / 1
LCM(23549,23560) = 554814440

Least Common Multiple (LCM) of 23549 and 23560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23549 and 23560. First we will calculate the prime factors of 23549 and 23560.

Prime Factorization of 23549

Prime Factorization of 23560

Now multiplying the highest exponent prime factors to calculate the LCM of 23549 and 23560.

LCM(23549,23560) = 23549¹ × 2³ × 5¹ × 19¹ × 31¹
LCM(23549,23560) = 554814440