What is the Least Common Multiple of 77041 and 77058?

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 77041 and 77058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77041 and 77058, than apply into the LCM equation.

GCF(77041,77058) = 1
LCM(77041,77058) = ( 77041 × 77058) / 1
LCM(77041,77058) = 5936625378 / 1
LCM(77041,77058) = 5936625378

Least Common Multiple (LCM) of 77041 and 77058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77041 and 77058. First we will calculate the prime factors of 77041 and 77058.

Prime Factorization of 77041

Prime Factorization of 77058

Now multiplying the highest exponent prime factors to calculate the LCM of 77041 and 77058.

LCM(77041,77058) = 77041¹ × 2¹ × 3³ × 1427¹
LCM(77041,77058) = 5936625378