What is the Least Common Multiple of 98924 and 98938?

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 98924 and 98938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98924 and 98938, than apply into the LCM equation.

GCF(98924,98938) = 14
LCM(98924,98938) = ( 98924 × 98938) / 14
LCM(98924,98938) = 9787342712 / 14
LCM(98924,98938) = 699095908

Least Common Multiple (LCM) of 98924 and 98938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98924 and 98938. First we will calculate the prime factors of 98924 and 98938.

Prime Factorization of 98924

Prime Factorization of 98938

Now multiplying the highest exponent prime factors to calculate the LCM of 98924 and 98938.

LCM(98924,98938) = 2² × 7¹ × 3533¹ × 37¹ × 191¹
LCM(98924,98938) = 699095908