What is the Least Common Multiple of 63546 and 63560?

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 63546 and 63560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63546 and 63560, than apply into the LCM equation.

GCF(63546,63560) = 14
LCM(63546,63560) = ( 63546 × 63560) / 14
LCM(63546,63560) = 4038983760 / 14
LCM(63546,63560) = 288498840

Least Common Multiple (LCM) of 63546 and 63560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63546 and 63560. First we will calculate the prime factors of 63546 and 63560.

Prime Factorization of 63546

Prime Factorization of 63560

Now multiplying the highest exponent prime factors to calculate the LCM of 63546 and 63560.

LCM(63546,63560) = 2³ × 3¹ × 7¹ × 17¹ × 89¹ × 5¹ × 227¹
LCM(63546,63560) = 288498840