What is the Least Common Multiple of 76433 and 76446?

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 76433 and 76446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76433 and 76446, than apply into the LCM equation.

GCF(76433,76446) = 1
LCM(76433,76446) = ( 76433 × 76446) / 1
LCM(76433,76446) = 5842997118 / 1
LCM(76433,76446) = 5842997118

Least Common Multiple (LCM) of 76433 and 76446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76433 and 76446. First we will calculate the prime factors of 76433 and 76446.

Prime Factorization of 76433

Prime Factorization of 76446

Now multiplying the highest exponent prime factors to calculate the LCM of 76433 and 76446.

LCM(76433,76446) = 7¹ × 61¹ × 179¹ × 2¹ × 3² × 31¹ × 137¹
LCM(76433,76446) = 5842997118