What is the Least Common Multiple of 91217 and 91230?
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 91217 and 91230 is 8321726910.
LCM(91217,91230) = 8321726910
Least Common Multiple of 91217 and 91230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91217 and 91230, than apply into the LCM equation.
GCF(91217,91230) = 1
LCM(91217,91230) = ( 91217 × 91230) / 1
LCM(91217,91230) = 8321726910 / 1
LCM(91217,91230) = 8321726910
Least Common Multiple (LCM) of 91217 and 91230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91217 and 91230. First we will calculate the prime factors of 91217 and 91230.
Prime Factorization of 91217
Prime factors of 91217 are 7, 83, 157. Prime factorization of 91217 in exponential form is:
91217 = 71 × 831 × 1571
Prime Factorization of 91230
Prime factors of 91230 are 2, 3, 5, 3041. Prime factorization of 91230 in exponential form is:
91230 = 21 × 31 × 51 × 30411
Now multiplying the highest exponent prime factors to calculate the LCM of 91217 and 91230.
LCM(91217,91230) = 71 × 831 × 1571 × 21 × 31 × 51 × 30411
LCM(91217,91230) = 8321726910
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