What is the Least Common Multiple of 4550 and 4562?

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 4550 and 4562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4550 and 4562, than apply into the LCM equation.

GCF(4550,4562) = 2
LCM(4550,4562) = ( 4550 × 4562) / 2
LCM(4550,4562) = 20757100 / 2
LCM(4550,4562) = 10378550

Least Common Multiple (LCM) of 4550 and 4562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4550 and 4562. First we will calculate the prime factors of 4550 and 4562.

Prime Factorization of 4550

Prime Factorization of 4562

Now multiplying the highest exponent prime factors to calculate the LCM of 4550 and 4562.

LCM(4550,4562) = 2¹ × 5² × 7¹ × 13¹ × 2281¹
LCM(4550,4562) = 10378550