What is the Least Common Multiple of 98368 and 98387?

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 98368 and 98387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98368 and 98387, than apply into the LCM equation.

GCF(98368,98387) = 1
LCM(98368,98387) = ( 98368 × 98387) / 1
LCM(98368,98387) = 9678132416 / 1
LCM(98368,98387) = 9678132416

Least Common Multiple (LCM) of 98368 and 98387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98368 and 98387. First we will calculate the prime factors of 98368 and 98387.

Prime Factorization of 98368

Prime Factorization of 98387

Now multiplying the highest exponent prime factors to calculate the LCM of 98368 and 98387.

LCM(98368,98387) = 2⁶ × 29¹ × 53¹ × 98387¹
LCM(98368,98387) = 9678132416