What is the Least Common Multiple of 83769 and 83780?

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 83769 and 83780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83769 and 83780, than apply into the LCM equation.

GCF(83769,83780) = 1
LCM(83769,83780) = ( 83769 × 83780) / 1
LCM(83769,83780) = 7018166820 / 1
LCM(83769,83780) = 7018166820

Least Common Multiple (LCM) of 83769 and 83780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83769 and 83780. First we will calculate the prime factors of 83769 and 83780.

Prime Factorization of 83769

Prime Factorization of 83780

Now multiplying the highest exponent prime factors to calculate the LCM of 83769 and 83780.

LCM(83769,83780) = 3¹ × 7¹ × 3989¹ × 2² × 5¹ × 59¹ × 71¹
LCM(83769,83780) = 7018166820