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What is the Least Common Multiple of 91198 and 91203?

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 91198 and 91203 is 8317531194.

LCM(91198,91203) = 8317531194

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Least Common Multiple of 91198 and 91203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91198 and 91203, than apply into the LCM equation.

GCF(91198,91203) = 1
LCM(91198,91203) = ( 91198 × 91203) / 1
LCM(91198,91203) = 8317531194 / 1
LCM(91198,91203) = 8317531194

Least Common Multiple (LCM) of 91198 and 91203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91198 and 91203. First we will calculate the prime factors of 91198 and 91203.

Prime Factorization of 91198

Prime factors of 91198 are 2, 45599. Prime factorization of 91198 in exponential form is:

91198 = 21 × 455991

Prime Factorization of 91203

Prime factors of 91203 are 3, 7, 43, 101. Prime factorization of 91203 in exponential form is:

91203 = 31 × 71 × 431 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 91198 and 91203.

LCM(91198,91203) = 21 × 455991 × 31 × 71 × 431 × 1011
LCM(91198,91203) = 8317531194