What is the Least Common Multiple of 77450 and 77455?

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 77450 and 77455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77450 and 77455, than apply into the LCM equation.

GCF(77450,77455) = 5
LCM(77450,77455) = ( 77450 × 77455) / 5
LCM(77450,77455) = 5998889750 / 5
LCM(77450,77455) = 1199777950

Least Common Multiple (LCM) of 77450 and 77455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77450 and 77455. First we will calculate the prime factors of 77450 and 77455.

Prime Factorization of 77450

Prime Factorization of 77455

Now multiplying the highest exponent prime factors to calculate the LCM of 77450 and 77455.

LCM(77450,77455) = 2¹ × 5² × 1549¹ × 7¹ × 2213¹
LCM(77450,77455) = 1199777950