What is the Least Common Multiple of 77228 and 77242?

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 77228 and 77242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77228 and 77242, than apply into the LCM equation.

GCF(77228,77242) = 2
LCM(77228,77242) = ( 77228 × 77242) / 2
LCM(77228,77242) = 5965245176 / 2
LCM(77228,77242) = 2982622588

Least Common Multiple (LCM) of 77228 and 77242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77228 and 77242. First we will calculate the prime factors of 77228 and 77242.

Prime Factorization of 77228

Prime Factorization of 77242

Now multiplying the highest exponent prime factors to calculate the LCM of 77228 and 77242.

LCM(77228,77242) = 2² × 43¹ × 449¹ × 11¹ × 3511¹
LCM(77228,77242) = 2982622588