What is the Least Common Multiple of 70156 and 70163?
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 70156 and 70163 is 4922355428.
LCM(70156,70163) = 4922355428
Least Common Multiple of 70156 and 70163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70156 and 70163, than apply into the LCM equation.
GCF(70156,70163) = 1
LCM(70156,70163) = ( 70156 × 70163) / 1
LCM(70156,70163) = 4922355428 / 1
LCM(70156,70163) = 4922355428
Least Common Multiple (LCM) of 70156 and 70163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70156 and 70163. First we will calculate the prime factors of 70156 and 70163.
Prime Factorization of 70156
Prime factors of 70156 are 2, 17539. Prime factorization of 70156 in exponential form is:
70156 = 22 × 175391
Prime Factorization of 70163
Prime factors of 70163 are 70163. Prime factorization of 70163 in exponential form is:
70163 = 701631
Now multiplying the highest exponent prime factors to calculate the LCM of 70156 and 70163.
LCM(70156,70163) = 22 × 175391 × 701631
LCM(70156,70163) = 4922355428
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