What is the Least Common Multiple of 96460 and 96474?

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 96460 and 96474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96460 and 96474, than apply into the LCM equation.

GCF(96460,96474) = 14
LCM(96460,96474) = ( 96460 × 96474) / 14
LCM(96460,96474) = 9305882040 / 14
LCM(96460,96474) = 664705860

Least Common Multiple (LCM) of 96460 and 96474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96460 and 96474. First we will calculate the prime factors of 96460 and 96474.

Prime Factorization of 96460

Prime Factorization of 96474

Now multiplying the highest exponent prime factors to calculate the LCM of 96460 and 96474.

LCM(96460,96474) = 2² × 5¹ × 7¹ × 13¹ × 53¹ × 3¹ × 2297¹
LCM(96460,96474) = 664705860