What is the Least Common Multiple of 45546 and 45560?

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 45546 and 45560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45546 and 45560, than apply into the LCM equation.

GCF(45546,45560) = 2
LCM(45546,45560) = ( 45546 × 45560) / 2
LCM(45546,45560) = 2075075760 / 2
LCM(45546,45560) = 1037537880

Least Common Multiple (LCM) of 45546 and 45560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45546 and 45560. First we will calculate the prime factors of 45546 and 45560.

Prime Factorization of 45546

Prime Factorization of 45560

Now multiplying the highest exponent prime factors to calculate the LCM of 45546 and 45560.

LCM(45546,45560) = 2³ × 3¹ × 7591¹ × 5¹ × 17¹ × 67¹
LCM(45546,45560) = 1037537880