What is the Least Common Multiple of 4890 and 4910?

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 4890 and 4910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4890 and 4910, than apply into the LCM equation.

GCF(4890,4910) = 10
LCM(4890,4910) = ( 4890 × 4910) / 10
LCM(4890,4910) = 24009900 / 10
LCM(4890,4910) = 2400990

Least Common Multiple (LCM) of 4890 and 4910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4890 and 4910. First we will calculate the prime factors of 4890 and 4910.

Prime Factorization of 4890

Prime Factorization of 4910

Now multiplying the highest exponent prime factors to calculate the LCM of 4890 and 4910.

LCM(4890,4910) = 2¹ × 3¹ × 5¹ × 163¹ × 491¹
LCM(4890,4910) = 2400990