What is the Least Common Multiple of 52702 and 52706?
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 52702 and 52706 is 1388855806.
LCM(52702,52706) = 1388855806
Least Common Multiple of 52702 and 52706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52702 and 52706, than apply into the LCM equation.
GCF(52702,52706) = 2
LCM(52702,52706) = ( 52702 × 52706) / 2
LCM(52702,52706) = 2777711612 / 2
LCM(52702,52706) = 1388855806
Least Common Multiple (LCM) of 52702 and 52706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52702 and 52706. First we will calculate the prime factors of 52702 and 52706.
Prime Factorization of 52702
Prime factors of 52702 are 2, 13, 2027. Prime factorization of 52702 in exponential form is:
52702 = 21 × 131 × 20271
Prime Factorization of 52706
Prime factors of 52706 are 2, 19, 73. Prime factorization of 52706 in exponential form is:
52706 = 21 × 192 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 52702 and 52706.
LCM(52702,52706) = 21 × 131 × 20271 × 192 × 731
LCM(52702,52706) = 1388855806
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