What is the Least Common Multiple of 52063 and 52070?
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 52063 and 52070 is 2710920410.
LCM(52063,52070) = 2710920410
Least Common Multiple of 52063 and 52070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52063 and 52070, than apply into the LCM equation.
GCF(52063,52070) = 1
LCM(52063,52070) = ( 52063 × 52070) / 1
LCM(52063,52070) = 2710920410 / 1
LCM(52063,52070) = 2710920410
Least Common Multiple (LCM) of 52063 and 52070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52063 and 52070. First we will calculate the prime factors of 52063 and 52070.
Prime Factorization of 52063
Prime factors of 52063 are 11, 4733. Prime factorization of 52063 in exponential form is:
52063 = 111 × 47331
Prime Factorization of 52070
Prime factors of 52070 are 2, 5, 41, 127. Prime factorization of 52070 in exponential form is:
52070 = 21 × 51 × 411 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 52063 and 52070.
LCM(52063,52070) = 111 × 47331 × 21 × 51 × 411 × 1271
LCM(52063,52070) = 2710920410
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