What is the Least Common Multiple of 23290 and 23310?
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 (LCM) of 23290 and 23310 is 54288990.
LCM(23290,23310) = 54288990
Least Common Multiple of 23290 and 23310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23290 and 23310, than apply into the LCM equation.
GCF(23290,23310) = 10
LCM(23290,23310) = ( 23290 × 23310) / 10
LCM(23290,23310) = 542889900 / 10
LCM(23290,23310) = 54288990
Least Common Multiple (LCM) of 23290 and 23310 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23290 and 23310. First we will calculate the prime factors of 23290 and 23310.
Prime Factorization of 23290
Prime factors of 23290 are 2, 5, 17, 137. Prime factorization of 23290 in exponential form is:
23290 = 21 × 51 × 171 × 1371
Prime Factorization of 23310
Prime factors of 23310 are 2, 3, 5, 7, 37. Prime factorization of 23310 in exponential form is:
23310 = 21 × 32 × 51 × 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 23290 and 23310.
LCM(23290,23310) = 21 × 51 × 171 × 1371 × 32 × 71 × 371
LCM(23290,23310) = 54288990
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