What is the Least Common Multiple of 97440 and 97454?

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 97440 and 97454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97440 and 97454, than apply into the LCM equation.

GCF(97440,97454) = 14
LCM(97440,97454) = ( 97440 × 97454) / 14
LCM(97440,97454) = 9495917760 / 14
LCM(97440,97454) = 678279840

Least Common Multiple (LCM) of 97440 and 97454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97440 and 97454. First we will calculate the prime factors of 97440 and 97454.

Prime Factorization of 97440

Prime Factorization of 97454

Now multiplying the highest exponent prime factors to calculate the LCM of 97440 and 97454.

LCM(97440,97454) = 2⁵ × 3¹ × 5¹ × 7¹ × 29¹ × 6961¹
LCM(97440,97454) = 678279840