What is the Least Common Multiple of 97540 and 97557?

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 97540 and 97557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97540 and 97557, than apply into the LCM equation.

GCF(97540,97557) = 1
LCM(97540,97557) = ( 97540 × 97557) / 1
LCM(97540,97557) = 9515709780 / 1
LCM(97540,97557) = 9515709780

Least Common Multiple (LCM) of 97540 and 97557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97540 and 97557. First we will calculate the prime factors of 97540 and 97557.

Prime Factorization of 97540

Prime Factorization of 97557

Now multiplying the highest exponent prime factors to calculate the LCM of 97540 and 97557.

LCM(97540,97557) = 2² × 5¹ × 4877¹ × 3¹ × 31¹ × 1049¹
LCM(97540,97557) = 9515709780