What is the Least Common Multiple of 97368 and 97382?

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 97368 and 97382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97368 and 97382, than apply into the LCM equation.

GCF(97368,97382) = 2
LCM(97368,97382) = ( 97368 × 97382) / 2
LCM(97368,97382) = 9481890576 / 2
LCM(97368,97382) = 4740945288

Least Common Multiple (LCM) of 97368 and 97382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97368 and 97382. First we will calculate the prime factors of 97368 and 97382.

Prime Factorization of 97368

Prime Factorization of 97382

Now multiplying the highest exponent prime factors to calculate the LCM of 97368 and 97382.

LCM(97368,97382) = 2³ × 3¹ × 4057¹ × 23¹ × 29¹ × 73¹
LCM(97368,97382) = 4740945288