What is the Least Common Multiple of 68709 and 68722?
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 68709 and 68722 is 4721819898.
LCM(68709,68722) = 4721819898
Least Common Multiple of 68709 and 68722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68709 and 68722, than apply into the LCM equation.
GCF(68709,68722) = 1
LCM(68709,68722) = ( 68709 × 68722) / 1
LCM(68709,68722) = 4721819898 / 1
LCM(68709,68722) = 4721819898
Least Common Multiple (LCM) of 68709 and 68722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68709 and 68722. First we will calculate the prime factors of 68709 and 68722.
Prime Factorization of 68709
Prime factors of 68709 are 3, 37, 619. Prime factorization of 68709 in exponential form is:
68709 = 31 × 371 × 6191
Prime Factorization of 68722
Prime factors of 68722 are 2, 34361. Prime factorization of 68722 in exponential form is:
68722 = 21 × 343611
Now multiplying the highest exponent prime factors to calculate the LCM of 68709 and 68722.
LCM(68709,68722) = 31 × 371 × 6191 × 21 × 343611
LCM(68709,68722) = 4721819898
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