What is the Least Common Multiple of 98534 and 98552?

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 98534 and 98552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98534 and 98552, than apply into the LCM equation.

GCF(98534,98552) = 2
LCM(98534,98552) = ( 98534 × 98552) / 2
LCM(98534,98552) = 9710722768 / 2
LCM(98534,98552) = 4855361384

Least Common Multiple (LCM) of 98534 and 98552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98534 and 98552. First we will calculate the prime factors of 98534 and 98552.

Prime Factorization of 98534

Prime Factorization of 98552

Now multiplying the highest exponent prime factors to calculate the LCM of 98534 and 98552.

LCM(98534,98552) = 2³ × 19¹ × 2593¹ × 97¹ × 127¹
LCM(98534,98552) = 4855361384