What is the Least Common Multiple of 98371 and 98380?

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 98371 and 98380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98371 and 98380, than apply into the LCM equation.

GCF(98371,98380) = 1
LCM(98371,98380) = ( 98371 × 98380) / 1
LCM(98371,98380) = 9677738980 / 1
LCM(98371,98380) = 9677738980

Least Common Multiple (LCM) of 98371 and 98380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98371 and 98380. First we will calculate the prime factors of 98371 and 98380.

Prime Factorization of 98371

Prime Factorization of 98380

Now multiplying the highest exponent prime factors to calculate the LCM of 98371 and 98380.

LCM(98371,98380) = 7¹ × 13¹ × 23¹ × 47¹ × 2² × 5¹ × 4919¹
LCM(98371,98380) = 9677738980