What is the Least Common Multiple of 52070 and 52087?
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 52070 and 52087 is 2712170090.
LCM(52070,52087) = 2712170090
Least Common Multiple of 52070 and 52087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52070 and 52087, than apply into the LCM equation.
GCF(52070,52087) = 1
LCM(52070,52087) = ( 52070 × 52087) / 1
LCM(52070,52087) = 2712170090 / 1
LCM(52070,52087) = 2712170090
Least Common Multiple (LCM) of 52070 and 52087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52070 and 52087. First we will calculate the prime factors of 52070 and 52087.
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
Prime Factorization of 52087
Prime factors of 52087 are 7, 1063. Prime factorization of 52087 in exponential form is:
52087 = 72 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 52070 and 52087.
LCM(52070,52087) = 21 × 51 × 411 × 1271 × 72 × 10631
LCM(52070,52087) = 2712170090
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