What is the Least Common Multiple of 88476 and 88494?

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 88476 and 88494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88476 and 88494, than apply into the LCM equation.

GCF(88476,88494) = 6
LCM(88476,88494) = ( 88476 × 88494) / 6
LCM(88476,88494) = 7829595144 / 6
LCM(88476,88494) = 1304932524

Least Common Multiple (LCM) of 88476 and 88494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88476 and 88494. First we will calculate the prime factors of 88476 and 88494.

Prime Factorization of 88476

Prime Factorization of 88494

Now multiplying the highest exponent prime factors to calculate the LCM of 88476 and 88494.

LCM(88476,88494) = 2² × 3¹ × 73¹ × 101¹ × 7³ × 43¹
LCM(88476,88494) = 1304932524