What is the Least Common Multiple of 77214 and 77224?

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 77214 and 77224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77214 and 77224, than apply into the LCM equation.

GCF(77214,77224) = 2
LCM(77214,77224) = ( 77214 × 77224) / 2
LCM(77214,77224) = 5962773936 / 2
LCM(77214,77224) = 2981386968

Least Common Multiple (LCM) of 77214 and 77224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77214 and 77224. First we will calculate the prime factors of 77214 and 77224.

Prime Factorization of 77214

Prime Factorization of 77224

Now multiplying the highest exponent prime factors to calculate the LCM of 77214 and 77224.

LCM(77214,77224) = 2³ × 3¹ × 17¹ × 757¹ × 7² × 197¹
LCM(77214,77224) = 2981386968