What is the Least Common Multiple of 62780 and 62785?

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 62780 and 62785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62780 and 62785, than apply into the LCM equation.

GCF(62780,62785) = 5
LCM(62780,62785) = ( 62780 × 62785) / 5
LCM(62780,62785) = 3941642300 / 5
LCM(62780,62785) = 788328460

Least Common Multiple (LCM) of 62780 and 62785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62780 and 62785. First we will calculate the prime factors of 62780 and 62785.

Prime Factorization of 62780

Prime Factorization of 62785

Now multiplying the highest exponent prime factors to calculate the LCM of 62780 and 62785.

LCM(62780,62785) = 2² × 5¹ × 43¹ × 73¹ × 29¹ × 433¹
LCM(62780,62785) = 788328460