What is the Least Common Multiple of 96998 and 97014?

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 96998 and 97014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96998 and 97014, than apply into the LCM equation.

GCF(96998,97014) = 2
LCM(96998,97014) = ( 96998 × 97014) / 2
LCM(96998,97014) = 9410163972 / 2
LCM(96998,97014) = 4705081986

Least Common Multiple (LCM) of 96998 and 97014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96998 and 97014. First we will calculate the prime factors of 96998 and 97014.

Prime Factorization of 96998

Prime Factorization of 97014

Now multiplying the highest exponent prime factors to calculate the LCM of 96998 and 97014.

LCM(96998,97014) = 2¹ × 11¹ × 4409¹ × 3¹ × 19¹ × 23¹ × 37¹
LCM(96998,97014) = 4705081986