What is the Least Common Multiple of 42062 and 42070?
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 42062 and 42070 is 884774170.
LCM(42062,42070) = 884774170
Least Common Multiple of 42062 and 42070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42062 and 42070, than apply into the LCM equation.
GCF(42062,42070) = 2
LCM(42062,42070) = ( 42062 × 42070) / 2
LCM(42062,42070) = 1769548340 / 2
LCM(42062,42070) = 884774170
Least Common Multiple (LCM) of 42062 and 42070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42062 and 42070. First we will calculate the prime factors of 42062 and 42070.
Prime Factorization of 42062
Prime factors of 42062 are 2, 21031. Prime factorization of 42062 in exponential form is:
42062 = 21 × 210311
Prime Factorization of 42070
Prime factors of 42070 are 2, 5, 7, 601. Prime factorization of 42070 in exponential form is:
42070 = 21 × 51 × 71 × 6011
Now multiplying the highest exponent prime factors to calculate the LCM of 42062 and 42070.
LCM(42062,42070) = 21 × 210311 × 51 × 71 × 6011
LCM(42062,42070) = 884774170
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