What is the Least Common Multiple of 79820 and 79834?

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 79820 and 79834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79820 and 79834, than apply into the LCM equation.

GCF(79820,79834) = 2
LCM(79820,79834) = ( 79820 × 79834) / 2
LCM(79820,79834) = 6372349880 / 2
LCM(79820,79834) = 3186174940

Least Common Multiple (LCM) of 79820 and 79834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79820 and 79834. First we will calculate the prime factors of 79820 and 79834.

Prime Factorization of 79820

Prime Factorization of 79834

Now multiplying the highest exponent prime factors to calculate the LCM of 79820 and 79834.

LCM(79820,79834) = 2² × 5¹ × 13¹ × 307¹ × 179¹ × 223¹
LCM(79820,79834) = 3186174940