What is the Least Common Multiple of 77350 and 77367?

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 77350 and 77367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77350 and 77367, than apply into the LCM equation.

GCF(77350,77367) = 17
LCM(77350,77367) = ( 77350 × 77367) / 17
LCM(77350,77367) = 5984337450 / 17
LCM(77350,77367) = 352019850

Least Common Multiple (LCM) of 77350 and 77367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77350 and 77367. First we will calculate the prime factors of 77350 and 77367.

Prime Factorization of 77350

Prime Factorization of 77367

Now multiplying the highest exponent prime factors to calculate the LCM of 77350 and 77367.

LCM(77350,77367) = 2¹ × 5² × 7¹ × 13¹ × 17¹ × 3¹ × 37¹ × 41¹
LCM(77350,77367) = 352019850