What is the Least Common Multiple of 79760 and 79773?

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 79760 and 79773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79760 and 79773, than apply into the LCM equation.

GCF(79760,79773) = 1
LCM(79760,79773) = ( 79760 × 79773) / 1
LCM(79760,79773) = 6362694480 / 1
LCM(79760,79773) = 6362694480

Least Common Multiple (LCM) of 79760 and 79773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79760 and 79773. First we will calculate the prime factors of 79760 and 79773.

Prime Factorization of 79760

Prime Factorization of 79773

Now multiplying the highest exponent prime factors to calculate the LCM of 79760 and 79773.

LCM(79760,79773) = 2⁴ × 5¹ × 997¹ × 3¹ × 26591¹
LCM(79760,79773) = 6362694480