What is the Least Common Multiple of 77875 and 77888?

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 77875 and 77888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77875 and 77888, than apply into the LCM equation.

GCF(77875,77888) = 1
LCM(77875,77888) = ( 77875 × 77888) / 1
LCM(77875,77888) = 6065528000 / 1
LCM(77875,77888) = 6065528000

Least Common Multiple (LCM) of 77875 and 77888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77875 and 77888. First we will calculate the prime factors of 77875 and 77888.

Prime Factorization of 77875

Prime Factorization of 77888

Now multiplying the highest exponent prime factors to calculate the LCM of 77875 and 77888.

LCM(77875,77888) = 5³ × 7¹ × 89¹ × 2⁶ × 1217¹
LCM(77875,77888) = 6065528000