What is the Least Common Multiple of 70941 and 70955?
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 70941 and 70955 is 5033618655.
LCM(70941,70955) = 5033618655
Least Common Multiple of 70941 and 70955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70941 and 70955, than apply into the LCM equation.
GCF(70941,70955) = 1
LCM(70941,70955) = ( 70941 × 70955) / 1
LCM(70941,70955) = 5033618655 / 1
LCM(70941,70955) = 5033618655
Least Common Multiple (LCM) of 70941 and 70955 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70941 and 70955. First we will calculate the prime factors of 70941 and 70955.
Prime Factorization of 70941
Prime factors of 70941 are 3, 13, 17, 107. Prime factorization of 70941 in exponential form is:
70941 = 31 × 131 × 171 × 1071
Prime Factorization of 70955
Prime factors of 70955 are 5, 23, 617. Prime factorization of 70955 in exponential form is:
70955 = 51 × 231 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 70941 and 70955.
LCM(70941,70955) = 31 × 131 × 171 × 1071 × 51 × 231 × 6171
LCM(70941,70955) = 5033618655
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