What is the Least Common Multiple of 72812 and 72823?
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 72812 and 72823 is 5302388276.
LCM(72812,72823) = 5302388276
Least Common Multiple of 72812 and 72823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72812 and 72823, than apply into the LCM equation.
GCF(72812,72823) = 1
LCM(72812,72823) = ( 72812 × 72823) / 1
LCM(72812,72823) = 5302388276 / 1
LCM(72812,72823) = 5302388276
Least Common Multiple (LCM) of 72812 and 72823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72812 and 72823. First we will calculate the prime factors of 72812 and 72823.
Prime Factorization of 72812
Prime factors of 72812 are 2, 109, 167. Prime factorization of 72812 in exponential form is:
72812 = 22 × 1091 × 1671
Prime Factorization of 72823
Prime factors of 72823 are 72823. Prime factorization of 72823 in exponential form is:
72823 = 728231
Now multiplying the highest exponent prime factors to calculate the LCM of 72812 and 72823.
LCM(72812,72823) = 22 × 1091 × 1671 × 728231
LCM(72812,72823) = 5302388276
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