What is the Least Common Multiple of 69789 and 69801?
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 69789 and 69801 is 1623780663.
LCM(69789,69801) = 1623780663
Least Common Multiple of 69789 and 69801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69789 and 69801, than apply into the LCM equation.
GCF(69789,69801) = 3
LCM(69789,69801) = ( 69789 × 69801) / 3
LCM(69789,69801) = 4871341989 / 3
LCM(69789,69801) = 1623780663
Least Common Multiple (LCM) of 69789 and 69801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69789 and 69801. First we will calculate the prime factors of 69789 and 69801.
Prime Factorization of 69789
Prime factors of 69789 are 3, 43, 541. Prime factorization of 69789 in exponential form is:
69789 = 31 × 431 × 5411
Prime Factorization of 69801
Prime factors of 69801 are 3, 53, 439. Prime factorization of 69801 in exponential form is:
69801 = 31 × 531 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 69789 and 69801.
LCM(69789,69801) = 31 × 431 × 5411 × 531 × 4391
LCM(69789,69801) = 1623780663
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