What is the Least Common Multiple of 83780 and 83785?

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 83780 and 83785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83780 and 83785, than apply into the LCM equation.

GCF(83780,83785) = 5
LCM(83780,83785) = ( 83780 × 83785) / 5
LCM(83780,83785) = 7019507300 / 5
LCM(83780,83785) = 1403901460

Least Common Multiple (LCM) of 83780 and 83785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83780 and 83785. First we will calculate the prime factors of 83780 and 83785.

Prime Factorization of 83780

Prime Factorization of 83785

Now multiplying the highest exponent prime factors to calculate the LCM of 83780 and 83785.

LCM(83780,83785) = 2² × 5¹ × 59¹ × 71¹ × 13¹ × 1289¹
LCM(83780,83785) = 1403901460