What is the Least Common Multiple of 67156 and 67171?
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 67156 and 67171 is 4510935676.
LCM(67156,67171) = 4510935676
Least Common Multiple of 67156 and 67171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67156 and 67171, than apply into the LCM equation.
GCF(67156,67171) = 1
LCM(67156,67171) = ( 67156 × 67171) / 1
LCM(67156,67171) = 4510935676 / 1
LCM(67156,67171) = 4510935676
Least Common Multiple (LCM) of 67156 and 67171 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67156 and 67171. First we will calculate the prime factors of 67156 and 67171.
Prime Factorization of 67156
Prime factors of 67156 are 2, 103, 163. Prime factorization of 67156 in exponential form is:
67156 = 22 × 1031 × 1631
Prime Factorization of 67171
Prime factors of 67171 are 13, 5167. Prime factorization of 67171 in exponential form is:
67171 = 131 × 51671
Now multiplying the highest exponent prime factors to calculate the LCM of 67156 and 67171.
LCM(67156,67171) = 22 × 1031 × 1631 × 131 × 51671
LCM(67156,67171) = 4510935676
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