What is the Least Common Multiple of 77450 and 77462?

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 77462 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 77462, than apply into the LCM equation.

GCF(77450,77462) = 2
LCM(77450,77462) = ( 77450 × 77462) / 2
LCM(77450,77462) = 5999431900 / 2
LCM(77450,77462) = 2999715950

Least Common Multiple (LCM) of 77450 and 77462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77450 and 77462. First we will calculate the prime factors of 77450 and 77462.

Prime Factorization of 77450

Prime Factorization of 77462

Now multiplying the highest exponent prime factors to calculate the LCM of 77450 and 77462.

LCM(77450,77462) = 2¹ × 5² × 1549¹ × 7¹ × 11¹ × 503¹
LCM(77450,77462) = 2999715950