What is the Least Common Multiple of 83462 and 83476?

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 83462 and 83476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83462 and 83476, than apply into the LCM equation.

GCF(83462,83476) = 2
LCM(83462,83476) = ( 83462 × 83476) / 2
LCM(83462,83476) = 6967073912 / 2
LCM(83462,83476) = 3483536956

Least Common Multiple (LCM) of 83462 and 83476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83462 and 83476. First we will calculate the prime factors of 83462 and 83476.

Prime Factorization of 83462

Prime Factorization of 83476

Now multiplying the highest exponent prime factors to calculate the LCM of 83462 and 83476.

LCM(83462,83476) = 2² × 29¹ × 1439¹ × 41¹ × 509¹
LCM(83462,83476) = 3483536956