What is the Least Common Multiple of 98980 and 98985?

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 98980 and 98985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98980 and 98985, than apply into the LCM equation.

GCF(98980,98985) = 5
LCM(98980,98985) = ( 98980 × 98985) / 5
LCM(98980,98985) = 9797535300 / 5
LCM(98980,98985) = 1959507060

Least Common Multiple (LCM) of 98980 and 98985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98980 and 98985. First we will calculate the prime factors of 98980 and 98985.

Prime Factorization of 98980

Prime Factorization of 98985

Now multiplying the highest exponent prime factors to calculate the LCM of 98980 and 98985.

LCM(98980,98985) = 2² × 5¹ × 7² × 101¹ × 3¹ × 6599¹
LCM(98980,98985) = 1959507060