What is the Least Common Multiple of 83772 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 83772 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 83772 and 83780, than apply into the LCM equation.

GCF(83772,83780) = 4
LCM(83772,83780) = ( 83772 × 83780) / 4
LCM(83772,83780) = 7018418160 / 4
LCM(83772,83780) = 1754604540

Least Common Multiple (LCM) of 83772 and 83780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83772 and 83780. First we will calculate the prime factors of 83772 and 83780.

Prime Factorization of 83772

Prime Factorization of 83780

Now multiplying the highest exponent prime factors to calculate the LCM of 83772 and 83780.

LCM(83772,83780) = 2² × 3² × 13¹ × 179¹ × 5¹ × 59¹ × 71¹
LCM(83772,83780) = 1754604540