What is the Least Common Multiple of 98969 and 98976?

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 98969 and 98976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98969 and 98976, than apply into the LCM equation.

GCF(98969,98976) = 1
LCM(98969,98976) = ( 98969 × 98976) / 1
LCM(98969,98976) = 9795555744 / 1
LCM(98969,98976) = 9795555744

Least Common Multiple (LCM) of 98969 and 98976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98969 and 98976. First we will calculate the prime factors of 98969 and 98976.

Prime Factorization of 98969

Prime Factorization of 98976

Now multiplying the highest exponent prime factors to calculate the LCM of 98969 and 98976.

LCM(98969,98976) = 13¹ × 23¹ × 331¹ × 2⁵ × 3¹ × 1031¹
LCM(98969,98976) = 9795555744