What is the Least Common Multiple of 91206 and 91212?
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 91206 and 91212 is 1386513612.
LCM(91206,91212) = 1386513612
Least Common Multiple of 91206 and 91212 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91206 and 91212, than apply into the LCM equation.
GCF(91206,91212) = 6
LCM(91206,91212) = ( 91206 × 91212) / 6
LCM(91206,91212) = 8319081672 / 6
LCM(91206,91212) = 1386513612
Least Common Multiple (LCM) of 91206 and 91212 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91206 and 91212. First we will calculate the prime factors of 91206 and 91212.
Prime Factorization of 91206
Prime factors of 91206 are 2, 3, 563. Prime factorization of 91206 in exponential form is:
91206 = 21 × 34 × 5631
Prime Factorization of 91212
Prime factors of 91212 are 2, 3, 11, 691. Prime factorization of 91212 in exponential form is:
91212 = 22 × 31 × 111 × 6911
Now multiplying the highest exponent prime factors to calculate the LCM of 91206 and 91212.
LCM(91206,91212) = 22 × 34 × 5631 × 111 × 6911
LCM(91206,91212) = 1386513612
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