What is the Least Common Multiple of 96356 and 96374?

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 96356 and 96374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96356 and 96374, than apply into the LCM equation.

GCF(96356,96374) = 2
LCM(96356,96374) = ( 96356 × 96374) / 2
LCM(96356,96374) = 9286213144 / 2
LCM(96356,96374) = 4643106572

Least Common Multiple (LCM) of 96356 and 96374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96356 and 96374. First we will calculate the prime factors of 96356 and 96374.

Prime Factorization of 96356

Prime Factorization of 96374

Now multiplying the highest exponent prime factors to calculate the LCM of 96356 and 96374.

LCM(96356,96374) = 2² × 13¹ × 17¹ × 109¹ × 48187¹
LCM(96356,96374) = 4643106572