What is the Least Common Multiple of 84137 and 84156?
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 84137 and 84156 is 7080633372.
LCM(84137,84156) = 7080633372
Least Common Multiple of 84137 and 84156 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84137 and 84156, than apply into the LCM equation.
GCF(84137,84156) = 1
LCM(84137,84156) = ( 84137 × 84156) / 1
LCM(84137,84156) = 7080633372 / 1
LCM(84137,84156) = 7080633372
Least Common Multiple (LCM) of 84137 and 84156 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84137 and 84156. First we will calculate the prime factors of 84137 and 84156.
Prime Factorization of 84137
Prime factors of 84137 are 84137. Prime factorization of 84137 in exponential form is:
84137 = 841371
Prime Factorization of 84156
Prime factors of 84156 are 2, 3, 7013. Prime factorization of 84156 in exponential form is:
84156 = 22 × 31 × 70131
Now multiplying the highest exponent prime factors to calculate the LCM of 84137 and 84156.
LCM(84137,84156) = 841371 × 22 × 31 × 70131
LCM(84137,84156) = 7080633372
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