What is the Least Common Multiple of 77474 and 77485?

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 77474 and 77485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77474 and 77485, than apply into the LCM equation.

GCF(77474,77485) = 1
LCM(77474,77485) = ( 77474 × 77485) / 1
LCM(77474,77485) = 6003072890 / 1
LCM(77474,77485) = 6003072890

Least Common Multiple (LCM) of 77474 and 77485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77474 and 77485. First we will calculate the prime factors of 77474 and 77485.

Prime Factorization of 77474

Prime Factorization of 77485

Now multiplying the highest exponent prime factors to calculate the LCM of 77474 and 77485.

LCM(77474,77485) = 2¹ × 38737¹ × 5¹ × 15497¹
LCM(77474,77485) = 6003072890