What is the Least Common Multiple of 42546 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 42546 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 42546 and 42560, than apply into the LCM equation.

GCF(42546,42560) = 14
LCM(42546,42560) = ( 42546 × 42560) / 14
LCM(42546,42560) = 1810757760 / 14
LCM(42546,42560) = 129339840

Least Common Multiple (LCM) of 42546 and 42560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42546 and 42560. First we will calculate the prime factors of 42546 and 42560.

Prime Factorization of 42546

Prime Factorization of 42560

Now multiplying the highest exponent prime factors to calculate the LCM of 42546 and 42560.

LCM(42546,42560) = 2⁶ × 3¹ × 7¹ × 1013¹ × 5¹ × 19¹
LCM(42546,42560) = 129339840