What is the Least Common Multiple of 77430 and 77438?

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 77430 and 77438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77430 and 77438, than apply into the LCM equation.

GCF(77430,77438) = 2
LCM(77430,77438) = ( 77430 × 77438) / 2
LCM(77430,77438) = 5996024340 / 2
LCM(77430,77438) = 2998012170

Least Common Multiple (LCM) of 77430 and 77438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77430 and 77438. First we will calculate the prime factors of 77430 and 77438.

Prime Factorization of 77430

Prime Factorization of 77438

Now multiplying the highest exponent prime factors to calculate the LCM of 77430 and 77438.

LCM(77430,77438) = 2¹ × 3¹ × 5¹ × 29¹ × 89¹ × 31¹ × 1249¹
LCM(77430,77438) = 2998012170