What is the Least Common Multiple of 93196 and 93202?
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 93196 and 93202 is 4343026796.
LCM(93196,93202) = 4343026796
Least Common Multiple of 93196 and 93202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93196 and 93202, than apply into the LCM equation.
GCF(93196,93202) = 2
LCM(93196,93202) = ( 93196 × 93202) / 2
LCM(93196,93202) = 8686053592 / 2
LCM(93196,93202) = 4343026796
Least Common Multiple (LCM) of 93196 and 93202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93196 and 93202. First we will calculate the prime factors of 93196 and 93202.
Prime Factorization of 93196
Prime factors of 93196 are 2, 23, 1013. Prime factorization of 93196 in exponential form is:
93196 = 22 × 231 × 10131
Prime Factorization of 93202
Prime factors of 93202 are 2, 46601. Prime factorization of 93202 in exponential form is:
93202 = 21 × 466011
Now multiplying the highest exponent prime factors to calculate the LCM of 93196 and 93202.
LCM(93196,93202) = 22 × 231 × 10131 × 466011
LCM(93196,93202) = 4343026796
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