What is the Least Common Multiple of 53090 and 53105?

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 53090 and 53105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53090 and 53105, than apply into the LCM equation.

GCF(53090,53105) = 5
LCM(53090,53105) = ( 53090 × 53105) / 5
LCM(53090,53105) = 2819344450 / 5
LCM(53090,53105) = 563868890

Least Common Multiple (LCM) of 53090 and 53105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53090 and 53105. First we will calculate the prime factors of 53090 and 53105.

Prime Factorization of 53090

Prime Factorization of 53105

Now multiplying the highest exponent prime factors to calculate the LCM of 53090 and 53105.

LCM(53090,53105) = 2¹ × 5¹ × 5309¹ × 13¹ × 19¹ × 43¹
LCM(53090,53105) = 563868890