What is the Least Common Multiple of 91182 and 91202?
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 91182 and 91202 is 4157990382.
LCM(91182,91202) = 4157990382
Least Common Multiple of 91182 and 91202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91182 and 91202, than apply into the LCM equation.
GCF(91182,91202) = 2
LCM(91182,91202) = ( 91182 × 91202) / 2
LCM(91182,91202) = 8315980764 / 2
LCM(91182,91202) = 4157990382
Least Common Multiple (LCM) of 91182 and 91202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91182 and 91202. First we will calculate the prime factors of 91182 and 91202.
Prime Factorization of 91182
Prime factors of 91182 are 2, 3, 7, 13, 167. Prime factorization of 91182 in exponential form is:
91182 = 21 × 31 × 71 × 131 × 1671
Prime Factorization of 91202
Prime factors of 91202 are 2, 31, 1471. Prime factorization of 91202 in exponential form is:
91202 = 21 × 311 × 14711
Now multiplying the highest exponent prime factors to calculate the LCM of 91182 and 91202.
LCM(91182,91202) = 21 × 31 × 71 × 131 × 1671 × 311 × 14711
LCM(91182,91202) = 4157990382
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