What is the Least Common Multiple of 97494 and 97504?

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 97494 and 97504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97494 and 97504, than apply into the LCM equation.

GCF(97494,97504) = 2
LCM(97494,97504) = ( 97494 × 97504) / 2
LCM(97494,97504) = 9506054976 / 2
LCM(97494,97504) = 4753027488

Least Common Multiple (LCM) of 97494 and 97504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97494 and 97504. First we will calculate the prime factors of 97494 and 97504.

Prime Factorization of 97494

Prime Factorization of 97504

Now multiplying the highest exponent prime factors to calculate the LCM of 97494 and 97504.

LCM(97494,97504) = 2⁵ × 3¹ × 16249¹ × 11¹ × 277¹
LCM(97494,97504) = 4753027488