What is the Least Common Multiple of 77905 and 77920?

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 77905 and 77920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77905 and 77920, than apply into the LCM equation.

GCF(77905,77920) = 5
LCM(77905,77920) = ( 77905 × 77920) / 5
LCM(77905,77920) = 6070357600 / 5
LCM(77905,77920) = 1214071520

Least Common Multiple (LCM) of 77905 and 77920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77905 and 77920. First we will calculate the prime factors of 77905 and 77920.

Prime Factorization of 77905

Prime Factorization of 77920

Now multiplying the highest exponent prime factors to calculate the LCM of 77905 and 77920.

LCM(77905,77920) = 5¹ × 15581¹ × 2⁵ × 487¹
LCM(77905,77920) = 1214071520