What is the Least Common Multiple of 46785 and 46802?

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 of 46785 and 46802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46785 and 46802, than apply into the LCM equation.

GCF(46785,46802) = 1
LCM(46785,46802) = ( 46785 × 46802) / 1
LCM(46785,46802) = 2189631570 / 1
LCM(46785,46802) = 2189631570

Least Common Multiple (LCM) of 46785 and 46802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46785 and 46802. First we will calculate the prime factors of 46785 and 46802.

Prime Factorization of 46785

Prime Factorization of 46802

Now multiplying the highest exponent prime factors to calculate the LCM of 46785 and 46802.

LCM(46785,46802) = 3¹ × 5¹ × 3119¹ × 2¹ × 7¹ × 3343¹
LCM(46785,46802) = 2189631570