What is the Least Common Multiple of 94182 and 94202?
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 94182 and 94202 is 4436066382.
LCM(94182,94202) = 4436066382
Least Common Multiple of 94182 and 94202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94182 and 94202, than apply into the LCM equation.
GCF(94182,94202) = 2
LCM(94182,94202) = ( 94182 × 94202) / 2
LCM(94182,94202) = 8872132764 / 2
LCM(94182,94202) = 4436066382
Least Common Multiple (LCM) of 94182 and 94202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94182 and 94202. First we will calculate the prime factors of 94182 and 94202.
Prime Factorization of 94182
Prime factors of 94182 are 2, 3, 11, 1427. Prime factorization of 94182 in exponential form is:
94182 = 21 × 31 × 111 × 14271
Prime Factorization of 94202
Prime factors of 94202 are 2, 19, 37, 67. Prime factorization of 94202 in exponential form is:
94202 = 21 × 191 × 371 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 94182 and 94202.
LCM(94182,94202) = 21 × 31 × 111 × 14271 × 191 × 371 × 671
LCM(94182,94202) = 4436066382
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