What is the Least Common Multiple of 79780 and 79787?

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 79780 and 79787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79780 and 79787, than apply into the LCM equation.

GCF(79780,79787) = 1
LCM(79780,79787) = ( 79780 × 79787) / 1
LCM(79780,79787) = 6365406860 / 1
LCM(79780,79787) = 6365406860

Least Common Multiple (LCM) of 79780 and 79787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79780 and 79787. First we will calculate the prime factors of 79780 and 79787.

Prime Factorization of 79780

Prime Factorization of 79787

Now multiplying the highest exponent prime factors to calculate the LCM of 79780 and 79787.

LCM(79780,79787) = 2² × 5¹ × 3989¹ × 23¹ × 3469¹
LCM(79780,79787) = 6365406860