What is the Least Common Multiple of 42541 and 42560?

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 42541 and 42560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42541 and 42560, than apply into the LCM equation.

GCF(42541,42560) = 19
LCM(42541,42560) = ( 42541 × 42560) / 19
LCM(42541,42560) = 1810544960 / 19
LCM(42541,42560) = 95291840

Least Common Multiple (LCM) of 42541 and 42560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42541 and 42560. First we will calculate the prime factors of 42541 and 42560.

Prime Factorization of 42541

Prime Factorization of 42560

Now multiplying the highest exponent prime factors to calculate the LCM of 42541 and 42560.

LCM(42541,42560) = 19¹ × 2239¹ × 2⁶ × 5¹ × 7¹
LCM(42541,42560) = 95291840