What is the Least Common Multiple of 97546 and 97560?

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 97546 and 97560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97546 and 97560, than apply into the LCM equation.

GCF(97546,97560) = 2
LCM(97546,97560) = ( 97546 × 97560) / 2
LCM(97546,97560) = 9516587760 / 2
LCM(97546,97560) = 4758293880

Least Common Multiple (LCM) of 97546 and 97560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97546 and 97560. First we will calculate the prime factors of 97546 and 97560.

Prime Factorization of 97546

Prime Factorization of 97560

Now multiplying the highest exponent prime factors to calculate the LCM of 97546 and 97560.

LCM(97546,97560) = 2³ × 17¹ × 19¹ × 151¹ × 3² × 5¹ × 271¹
LCM(97546,97560) = 4758293880