What is the Least Common Multiple of 72204 and 72212?
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 72204 and 72212 is 1303498812.
LCM(72204,72212) = 1303498812
Least Common Multiple of 72204 and 72212 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72204 and 72212, than apply into the LCM equation.
GCF(72204,72212) = 4
LCM(72204,72212) = ( 72204 × 72212) / 4
LCM(72204,72212) = 5213995248 / 4
LCM(72204,72212) = 1303498812
Least Common Multiple (LCM) of 72204 and 72212 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72204 and 72212. First we will calculate the prime factors of 72204 and 72212.
Prime Factorization of 72204
Prime factors of 72204 are 2, 3, 11, 547. Prime factorization of 72204 in exponential form is:
72204 = 22 × 31 × 111 × 5471
Prime Factorization of 72212
Prime factors of 72212 are 2, 7, 2579. Prime factorization of 72212 in exponential form is:
72212 = 22 × 71 × 25791
Now multiplying the highest exponent prime factors to calculate the LCM of 72204 and 72212.
LCM(72204,72212) = 22 × 31 × 111 × 5471 × 71 × 25791
LCM(72204,72212) = 1303498812
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