What is the Least Common Multiple of 98374 and 98390?

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 98374 and 98390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98374 and 98390, than apply into the LCM equation.

GCF(98374,98390) = 2
LCM(98374,98390) = ( 98374 × 98390) / 2
LCM(98374,98390) = 9679017860 / 2
LCM(98374,98390) = 4839508930

Least Common Multiple (LCM) of 98374 and 98390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98374 and 98390. First we will calculate the prime factors of 98374 and 98390.

Prime Factorization of 98374

Prime Factorization of 98390

Now multiplying the highest exponent prime factors to calculate the LCM of 98374 and 98390.

LCM(98374,98390) = 2¹ × 101¹ × 487¹ × 5¹ × 9839¹
LCM(98374,98390) = 4839508930