What is the Least Common Multiple of 99452 and 99458?

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 99452 and 99458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99452 and 99458, than apply into the LCM equation.

GCF(99452,99458) = 2
LCM(99452,99458) = ( 99452 × 99458) / 2
LCM(99452,99458) = 9891297016 / 2
LCM(99452,99458) = 4945648508

Least Common Multiple (LCM) of 99452 and 99458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99452 and 99458. First we will calculate the prime factors of 99452 and 99458.

Prime Factorization of 99452

Prime Factorization of 99458

Now multiplying the highest exponent prime factors to calculate the LCM of 99452 and 99458.

LCM(99452,99458) = 2² × 23² × 47¹ × 223²
LCM(99452,99458) = 4945648508