What is the Least Common Multiple of 52042 and 52057?
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 52042 and 52057 is 2709150394.
LCM(52042,52057) = 2709150394
Least Common Multiple of 52042 and 52057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52042 and 52057, than apply into the LCM equation.
GCF(52042,52057) = 1
LCM(52042,52057) = ( 52042 × 52057) / 1
LCM(52042,52057) = 2709150394 / 1
LCM(52042,52057) = 2709150394
Least Common Multiple (LCM) of 52042 and 52057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52042 and 52057. First we will calculate the prime factors of 52042 and 52057.
Prime Factorization of 52042
Prime factors of 52042 are 2, 26021. Prime factorization of 52042 in exponential form is:
52042 = 21 × 260211
Prime Factorization of 52057
Prime factors of 52057 are 52057. Prime factorization of 52057 in exponential form is:
52057 = 520571
Now multiplying the highest exponent prime factors to calculate the LCM of 52042 and 52057.
LCM(52042,52057) = 21 × 260211 × 520571
LCM(52042,52057) = 2709150394
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