What is the Least Common Multiple of 75402 and 75412?

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 75402 and 75412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75402 and 75412, than apply into the LCM equation.

GCF(75402,75412) = 2
LCM(75402,75412) = ( 75402 × 75412) / 2
LCM(75402,75412) = 5686215624 / 2
LCM(75402,75412) = 2843107812

Least Common Multiple (LCM) of 75402 and 75412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75402 and 75412. First we will calculate the prime factors of 75402 and 75412.

Prime Factorization of 75402

Prime Factorization of 75412

Now multiplying the highest exponent prime factors to calculate the LCM of 75402 and 75412.

LCM(75402,75412) = 2² × 3² × 59¹ × 71¹ × 17¹ × 1109¹
LCM(75402,75412) = 2843107812