What is the Least Common Multiple of 77880 and 77896?

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 77880 and 77896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77880 and 77896, than apply into the LCM equation.

GCF(77880,77896) = 8
LCM(77880,77896) = ( 77880 × 77896) / 8
LCM(77880,77896) = 6066540480 / 8
LCM(77880,77896) = 758317560

Least Common Multiple (LCM) of 77880 and 77896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77880 and 77896. First we will calculate the prime factors of 77880 and 77896.

Prime Factorization of 77880

Prime Factorization of 77896

Now multiplying the highest exponent prime factors to calculate the LCM of 77880 and 77896.

LCM(77880,77896) = 2³ × 3¹ × 5¹ × 11¹ × 59¹ × 7¹ × 13¹ × 107¹
LCM(77880,77896) = 758317560