What is the Least Common Multiple of 72291 and 72310?
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 72291 and 72310 is 5227362210.
LCM(72291,72310) = 5227362210
Least Common Multiple of 72291 and 72310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72291 and 72310, than apply into the LCM equation.
GCF(72291,72310) = 1
LCM(72291,72310) = ( 72291 × 72310) / 1
LCM(72291,72310) = 5227362210 / 1
LCM(72291,72310) = 5227362210
Least Common Multiple (LCM) of 72291 and 72310 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72291 and 72310. First we will calculate the prime factors of 72291 and 72310.
Prime Factorization of 72291
Prime factors of 72291 are 3, 24097. Prime factorization of 72291 in exponential form is:
72291 = 31 × 240971
Prime Factorization of 72310
Prime factors of 72310 are 2, 5, 7, 1033. Prime factorization of 72310 in exponential form is:
72310 = 21 × 51 × 71 × 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 72291 and 72310.
LCM(72291,72310) = 31 × 240971 × 21 × 51 × 71 × 10331
LCM(72291,72310) = 5227362210
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