What is the Least Common Multiple of 64546 and 64560?

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 64546 and 64560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64546 and 64560, than apply into the LCM equation.

GCF(64546,64560) = 2
LCM(64546,64560) = ( 64546 × 64560) / 2
LCM(64546,64560) = 4167089760 / 2
LCM(64546,64560) = 2083544880

Least Common Multiple (LCM) of 64546 and 64560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64546 and 64560. First we will calculate the prime factors of 64546 and 64560.

Prime Factorization of 64546

Prime Factorization of 64560

Now multiplying the highest exponent prime factors to calculate the LCM of 64546 and 64560.

LCM(64546,64560) = 2⁴ × 59¹ × 547¹ × 3¹ × 5¹ × 269¹
LCM(64546,64560) = 2083544880