What is the Least Common Multiple of 79795 and 79815?

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 79795 and 79815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79795 and 79815, than apply into the LCM equation.

GCF(79795,79815) = 5
LCM(79795,79815) = ( 79795 × 79815) / 5
LCM(79795,79815) = 6368837925 / 5
LCM(79795,79815) = 1273767585

Least Common Multiple (LCM) of 79795 and 79815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79795 and 79815. First we will calculate the prime factors of 79795 and 79815.

Prime Factorization of 79795

Prime Factorization of 79815

Now multiplying the highest exponent prime factors to calculate the LCM of 79795 and 79815.

LCM(79795,79815) = 5¹ × 15959¹ × 3¹ × 17¹ × 313¹
LCM(79795,79815) = 1273767585